Search a number
-
+
2315106625 = 53131424681
BaseRepresentation
bin1000100111111101…
…1011100101000001
312222100021121020211
42021333123211001
514220131403000
61021420434121
7111241036666
oct21177334501
95870247224
102315106625
11a888a9967
125473a8941
132ab8341a0
1417d681a6d
15d83a77ba
hex89fdb941

2315106625 has 16 divisors (see below), whose sum is σ = 3111505488. Its totient is φ = 1709616000.

The previous prime is 2315106611. The next prime is 2315106641. The reversal of 2315106625 is 5266015132.

It can be written as a sum of positive squares in 8 ways, for example, as 1744899984 + 570206641 = 41772^2 + 23879^2 .

It is not a de Polignac number, because 2315106625 - 25 = 2315106593 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 710716 + ... + 713965.

It is an arithmetic number, because the mean of its divisors is an integer number (194469093).

Almost surely, 22315106625 is an apocalyptic number.

2315106625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2315106625 is a deficient number, since it is larger than the sum of its proper divisors (796398863).

2315106625 is a wasteful number, since it uses less digits than its factorization.

2315106625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424709 (or 1424699 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 2315106625 is about 48115.5549173030. The cubic root of 2315106625 is about 1322.8897940133.

The spelling of 2315106625 in words is "two billion, three hundred fifteen million, one hundred six thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 125 325 1625 1424681 7123405 18520853 35617025 92604265 178085125 463021325 2315106625